Cluster sizes in a classical Lennard-Jones chain
arXiv:1707.00090 · doi:10.1103/PhysRevE.96.032144
Abstract
The definitions of breaks and clusters in a one-dimensional chain in equilibrium are discussed. Analytical expressions are obtained for the expected cluster length, , as a function of temperature and pressure in a one-dimensional Lennard-Jones chain. These expressions are compared with results from molecular dynamics simulations. It is found that increases exponentially with and with pressure, in agreement with previous results in the literature. A method is illustrated for using to generate a "phase diagram" for the Lennard-Jones chain. Some implications for the study of heat transport in Lennard-Jones chains are discussed.
arXiv commentSubmitted to Phys. Rev. E. 5 figures
References in corpus (16)
- Thermal conduction in classical low-dimensional lattices
- Heat Transport in low-dimensional systems
- Nonlinear fluctuating hydrodynamics for anharmonic chains
- Heat conduction in one dimensional chains
- Exact scaling functions for one-dimensional stationary KPZ growth
- Finite thermal conductivity in 1d lattices
- Ballistic Phonon Thermal Transport in Multi-Walled Carbon Nanotubes
- Anomalous Heat Conduction and Anomalous Diffusion in Low Dimensional Nanoscale Systems
- Anomalous Heat Conduction in a Di-atomic One-Dimensional Ideal Gas
- Self-Consistent Mode-Coupling Approach to 1D Heat Transport
- Graded anharmonic crystals as genuine thermal diodes: Analytical description of rectification and negative differential thermal resistance
- 1D momentum-conserving systems: the conundrum of anomalous versus normal heat transport
- Detailed Examination of Transport Coefficients in Cubic-Plus-Quartic Oscillator Chains
- Normal heat conductivity in chains capable of dissociation
- The one-dimensional Lennard-Jones system: collective fluctuations and breakdown of hydrodynamics
- One-Dimensional Self-Organization and Nonequilibrium Phase Transition in a Hamiltonian System